1. The problem statement, all variables and given/known data A spherical bowling ball with mass m = 4.3 kg and radius R = 0.102 m is thrown down the lane with an initial speed of v = 8.2 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.29. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. magnitude of angular acceleration during sliding: 69.66 rad/s^2 magnitude of linear acceleration during sliding: 2.84 m/s^2 how long to roll without slipping: 0.824 s length of slide before rolling: 5.79 m and after it begins to roll without slipping, the rotational kinetic energy is less than the translational kinetic energy. What is the magnitude of the final velocity? 2. Relevant equations KE=1/2mv^2 Erot=1/2Iw^2 w=v/r 3. The attempt at a solution I assumed that the KE of the ball immediately before hitting would be equal to the sum of the final KE and Erot. KE1=KE2+Erot 1/2mvi^2=1/2mvf^2+1/2(2/5m)(vf^2/r^2) After mathing, I solved that the final velocity is 1.30559 m/s, but that isn't right.